The simplified form of given number is 16
We are given the number 64 with exponent ²/₃
Now, as per the known fact, cube of 4 is equal to 64. As, 4 multiplied with 4 gives 16. Further multiplying 16 and 4 gives 64. So, rewriting the number using 4 as follows -
Number = [tex]4^{3(2/3) }[/tex]
Cancelling 3 from exponent as it is present in both numerator and denominator. Rewriting the number with remaining exponent to find the simplified form of the number-
Number = 4²
Taking square of the number to find the simplified form of the number given in question
Number = 16
Hence, the simplified form of the number is 16
Learn more about simplification of number -
https://brainly.com/question/723406
#SPJ4
